513808 has 20 divisors (see below), whose sum is σ = 1054620. Its totient is φ = 241664.

The previous prime is 513781. The next prime is 513829. The reversal of 513808 is 808315.

It can be written as a sum of positive squares in 2 ways, for example, as 327184 + 186624 = 572^2 + 432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 673 + ... + 1216.

It is an arithmetic number, because the mean of its divisors is an integer number (52731).

2⁵¹³⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

513808 is an abundant number, since it is smaller than the sum of its proper divisors (540812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513808 is a wasteful number, since it uses less digits than its factorization.

513808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 513808 is about 716.8040178459. The cubic root of 513808 is about 80.0940560416.

The spelling of 513808 in words is "five hundred thirteen thousand, eight hundred eight".